SOLUTION: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The h
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-> SOLUTION: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The h
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Question 1171339: Jennifer, standing just outside her apartment building, throws a baseball upward from an initial height of 10 feet above the ground level at an initial velocity of 45 ft/sec. The height of the baseball in terms of elapsed time is a quadratic relationship. The generalized equation is
f(x)=-16x^2+v0x+h0 where v0 represents the initial velocity and h0 represents the initial height. Lindsey, on her fourth floor balcony 50 feet above ground level, launches her drone helicopter that ascends at a constant rate of 23ft/sec. If Jennifer throws the baseball at the same time that Lindsey begins the ascent flight of her helicopter, write a system of equations that could be used to determine at what time(s) and height(s) the baseball would possibly strike the helicopter.
The equation for baseball is
= -16t^2 + 45t + 10. (1)
(I prefer to use " t " for time instead of x in your formula).
The equation for the drone is
= 50 + 23*t. (2)
Notice indexes "b" for baseball and "d" for the drone.
To investigate the possible collision, you don't need a system of equations.
You need ONLY ONE equation, instead
-16t^2 + 45t + 10 = 50 + 23*t
saying that two objects are at the same height at the same time.
Solved.
I answered all your questions and provided all necessary explanation in the most detailed and clear form.
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It is NOT RECOMMENDED to throw baseball standing just outside the apartment building.
